A unified theory of dipolophoresis for nanoparticles

A unified theory of dipolophoresis for nanoparticles
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DOI:
10.1063/1.2997344
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发表时间:
2008-10-01
期刊:
影响因子:
4.6
通讯作者:
Miloh, Touvia
Miloh, Touvia
中科院分区:
工程技术2区
文献类型:
--
作者:
Miloh, Touvia

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一般迁移率关系推导出的亚微米大小的自由悬浮导电(理想极化)粒子的任意形状下直流或交流空间非均匀电强迫的平移和旋转。初始带电胶体的线性电泳效应和不带电粒子的非线性诱导电荷电泳被认为是在同一框架内。通过积分粒子上的麦克斯韦应力、剪应力和法向应力(与非定常Stokes方程有关),得到了作用在单个胶体上的总载荷(静电和流体动力)的简明推导。这些新导出的表达式施加在纳米粒子上的力和扭矩,这是受任何电场,给出了任意德拜厚度,从而打开了研究纳米尺度上的非线性电泳运动的道路。(C)2008年美国物理学会。[DOI:10.1063/1.2997344]
General mobility relations are derived for the translation and rotation of submicrometer-size freely suspended conducting (ideally polarizable) particles of arbitrary shape under dc or ac spatially nonuniform electric forcing. Both linear electrophoretic effects for an initially charged colloid and nonlinear induced-charge electrophoresis of an uncharged particle are considered within the same framework. A concise derivation of the total loads (electrostatic and hydrodynamic) exerted on a single colloid are obtained by integrating the Maxwell, shear and normal (relating to the unsteady Stokes equation) stresses over the particle. These newly derived expressions for the force and torque exerted on a nanoparticle, which is subject to any electric field, are given for an arbitrary Debye thickness and thus open the road to studying nonlinear phoretic motions on the nanoscale. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2997344]